2610488400 has 120 divisors (see below), whose sum is σ = 9005569440. Its totient is φ = 642577920.

The previous prime is 2610488383. The next prime is 2610488401. The reversal of 2610488400 is 48840162.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610488401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68070 + ... + 99269.

It is an arithmetic number, because the mean of its divisors is an integer number (75046412).

Almost surely, 2^2610488400 is an apocalyptic number.

2610488400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2610488400 is an abundant number, since it is smaller than the sum of its proper divisors (6395081040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2610488400 is a wasteful number, since it uses less digits than its factorization.

2610488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167373 (or 167362 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2610488400 is about 51092.9388467722. The cubic root of 2610488400 is about 1376.9153956001.

The spelling of 2610488400 in words is "two billion, six hundred ten million, four hundred eighty-eight thousand, four hundred".